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Finding the Third Proportional to 39,539 and 62,828

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Solution

The third proportional to 39,539 and 62,828 is: 99,834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,539 : 62,828 = 62,828 : x
  2. Step 2: Convert to fraction form
    39,539/62,828 = 62,828/x
  3. Step 3: Cross multiply
    39,539x = 62,828 × 62,828
  4. Step 4: Simplify right side
    39,539x = 3,947,357,584
  5. Step 5: Solve for x
    x = 3,947,357,584/39,539
  6. Step 6: Final answer
    x = 99,834.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.